3488544037125 has 96 divisors (see below), whose sum is σ = 7250669397504. Its totient is φ = 1580649638400.

The previous prime is 3488544037061. The next prime is 3488544037229. The reversal of 3488544037125 is 5217304458843.

3488544037125 is a `hidden beast` number, since 3 + 4 + 8 + 8 + 544 + 0 + 3 + 71 + 25 = 666.

3488544037125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3488544037125 - 2⁶ = 3488544037061 is a prime.

It is a super-3 number, since 3×3488544037125³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1070257 + ... + 2850006.

It is an arithmetic number, because the mean of its divisors is an integer number (75527806224).

Almost surely, 2^{3488544037125} is an apocalyptic number.

3488544037125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3488544037125 is an abundant number, since it is smaller than the sum of its proper divisors (3762125360379).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3488544037125 is a wasteful number, since it uses less digits than its factorization.

3488544037125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3920404 (or 3920391 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 3488544037125 in words is "three trillion, four hundred eighty-eight billion, five hundred forty-four million, thirty-seven thousand, one hundred twenty-five".